Groups and Manifolds: Lectures for Physicists with Examples in Mathematica

Groups and Manifolds is an introduction to the mathematics of symmetry with a variety of examples for physicists. It covers both classical symmetry as seen in crystallography as well as the mathematical concepts used in super-symmetric field theories. After a basic introduction of group theory, Lie algebras and a basic notion of differential geometry are discussed. Group-theoretical constructions are done using Mathematica.